5
[ y = plus or minus any number ] is parallel to the x-axis.
In 2-dimensional co-ordinate geometry, a line parallel to the y axis has the equation x = c where c is a constant.
Known equation: 3x+5y = 6 or y = -3/5x +6/5 Slope of equation: -3/5 Slope of parallel equation: -3/5 Parallel equation: y-1 = -3/5(x-3) => 5y = -3x+14 Parallel equation in its general form: 3x+5y-14 = 0
The slope is 5. Parallel lines always have the same slope.
4
2y= 3x+6
5
Any equation with the form y=c is parallel to the y-axis, where c is a constant.
7
[ y = plus or minus any number ] is parallel to the x-axis.
Any equation of the form 2x + 3y = c, where c is a constant value, represents a line parallel to the given line 2x + 3y = 12.
I assume the question should be y = -2x + 5? The equation of a line that is parallel to that line is any line that begins 7 = -2x ... after the -2x any number may be added or subtracted. Parallel lines have the same slope. In the original equation, the slope is -2.
y = -3x + 7 is an equation which gives us a line parallel to the line y = -3x + 1, or the line -3x - 1. The equation given represents the slope-intercept form of the equation for a line. Slope-intercept takes the form y = mx + b. In this form the the value of m represents the slope of the line, while b represents the Y intercept. All lines with the same slope are parallel (unless they're exactly the same.) So to find a parallel line, we simply adjust the Y intercept to any value other than the one given.
Y+2 = 2 (x-3)
If you mean: y = 2x-4 then the parallel line will have the same slope of 2 but with a different y intercept
(Y = -2x plus or minus any number) is parallel to (Y = -2x + 5) .